Equation

From The Collaborative International Dictionary of English v.0.48 [gcide]:

**Equation** \E*qua"tion\, noun [L. aequatio an equalizing: cf. F.
['e]quation **equation**. See {Equate}.]

1. A making equal; equal division; equality; equilibrium.

Again the golden day resumed its right,
And ruled in just **equation** with the night. --Rowe.

2. (Math.) An expression of the condition of equality between
two algebraic quantities or sets of quantities, the sign =
being placed between them; as, a binomial **equation**; a
quadratic **equation**; an algebraic **equation**; a
transcendental **equation**; an exponential **equation**; a
logarithmic **equation**; a differential **equation**, etc.

3. (Astron.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion.

{Absolute **equation**}. See under {Absolute}.

{**Equation** box}, or {Equational box}, a system of differential
gearing used in spinning machines for regulating the twist
of the yarn. It resembles gearing used in **equation** clocks
for showing apparent time.

{**Equation** of the center} (Astron.), the difference between
the place of a planet as supposed to move uniformly in a
circle, and its place as moving in an ellipse.

{Equations of condition} (Math.), equations formed for deducing the true values of certain quantities from others on which they depend, when different sets of the latter, as given by observation, would yield different values of the quantities sought, and the number of equations that may be found is greater than the number of unknown quantities.

{**Equation** of a curve} (Math.), an **equation** which expresses
the relation between the co["o]rdinates of every point in
the curve.

{**Equation** of equinoxes} (Astron.), the difference between the
mean and apparent places of the equinox.

{**Equation** of payments} (Arith.), the process of finding the
mean time of payment of several sums due at different
times.

{**Equation** of time} (Astron.), the difference between mean and
apparent time, or between the time of day indicated by the
sun, and that by a perfect clock going uniformly all the
year round.

{**Equation** clock} or {**Equation** watch}, a timepiece made to
exhibit the differences between mean solar and apparent
solar time. --Knight.

{Normal **equation**}. See under {Normal}.

{Personal **equation**} (Astron.), the difference between an
observed result and the true qualities or peculiarities in
the observer; particularly the difference, in an average
of a large number of observation, between the instant when
an observer notes a phenomenon, as the transit of a star,
and the assumed instant of its actual occurrence; or,
relatively, the difference between these instants as noted
by two observers. It is usually only a fraction of a
second; -- sometimes applied loosely to differences of
judgment or method occasioned by temperamental qualities
of individuals.

{Theory of equations} (Math.), the branch of algebra that
treats of the properties of a single algebraic **equation** of
any degree containing one unknown quantity.

From WordNet (r) 3.0 (2006) [wn]:

noun

1: a mathematical statement that two expressions are equal

2: a state of being essentially equal or equivalent; equally
balanced; "on a par with the best" [syn: {equality},
{equivalence}, {**equation**}, {par}]

3: the act of regarding as equal [syn: {**equation**}, {equating}]

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